%I #6 Apr 26 2020 20:59:50
%S 2,8,64,1235,50595,4476519,869077778,366077961514,335596576750584,
%T 669918796268237474,2910017609941646409850,27515650943860323389048352,
%U 566341048893984999950037393720,25373839553082331349391351332105201
%N Number of n X n 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0 or 2 neighboring 1's.
%C Diagonal of A296335.
%e Some solutions for n=5
%e ..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .1..0..0..0..1
%e ..0..0..0..0..1. .1..1..0..1..1. .1..1..0..1..0. .0..0..0..0..0
%e ..1..1..0..0..0. .1..0..0..1..0. .1..0..0..0..0. .1..0..0..0..0
%e ..1..0..1..0..1. .0..1..0..0..0. .0..1..0..1..0. .0..1..1..0..1
%e ..0..1..1..0..0. .1..1..0..0..1. .0..0..1..1..0. .0..1..0..0..0
%Y Cf. A296335.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 10 2017